Atkin-Lehner |
2+ 3- 53- |
Signs for the Atkin-Lehner involutions |
Class |
30528w |
Isogeny class |
Conductor |
30528 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-45578059776 = -1 · 217 · 38 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -3 4 3 2 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1164,18416] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:144:1] |
Generators of the group modulo torsion |
j |
-1825346/477 |
j-invariant |
L |
5.8170370728129 |
L(r)(E,1)/r! |
Ω |
1.0803014061897 |
Real period |
R |
0.67308033659444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30528bx1 3816a1 10176b1 |
Quadratic twists by: -4 8 -3 |